MinT - Information on Result #1170526

Information on Result #1170526

Linear OOA(2²⁵⁴, 32, F₂, 8, 227) (dual of [(32, 8), 2, 228]-NRT-code), using OOA 2-folding based on linear OOA(2²⁵⁴, 64, F₂, 4, 227) (dual of [(64, 4), 2, 228]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵⁴, 64, F₂, 4, 231) (dual of [(64, 4), 2, 232]-NRT-code), using
- repeating each code word 8 times [i] based on linear OOA(2³⁰, 8, F₂, 4, 28) (dual of [(8, 4), 2, 29]-NRT-code), using
  - 4 step truncation [i] based on linear OOA(2³⁴, 9, F₂, 4, 32) (dual of [(9, 4), 2, 33]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2¹⁰, 3, F₂, 4, 10) (dual of [(3, 4), 2, 11]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(4;2,2) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(2²⁵⁴, 32, F₂, 8, 226) (dual of [(32, 8), 2, 227]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵⁴, 32, F₂, 8, 225) (dual of [(32, 8), 2, 226]-NRT-code)	[i]
3	Linear OOA(2²⁵⁴, 32, F₂, 8, 224) (dual of [(32, 8), 2, 225]-NRT-code)	[i]
4	Linear OOA(2²⁵⁴, 32, F₂, 8, 223) (dual of [(32, 8), 2, 224]-NRT-code)	[i]
5	Linear OOA(2²⁵⁴, 32, F₂, 8, 222) (dual of [(32, 8), 2, 223]-NRT-code)	[i]
6	Linear OOA(2²⁵⁴, 32, F₂, 8, 221) (dual of [(32, 8), 2, 222]-NRT-code)	[i]
7	Linear OOA(2²⁵⁴, 32, F₂, 8, 220) (dual of [(32, 8), 2, 221]-NRT-code)	[i]
8	Linear OOA(2²⁵⁴, 32, F₂, 8, 219) (dual of [(32, 8), 2, 220]-NRT-code)	[i]
9	Linear OOA(2²⁵⁴, 32, F₂, 8, 218) (dual of [(32, 8), 2, 219]-NRT-code)	[i]
10	Linear OOA(2²⁵⁴, 32, F₂, 8, 217) (dual of [(32, 8), 2, 218]-NRT-code)	[i]
11	Linear OOA(2²⁵⁴, 32, F₂, 8, 216) (dual of [(32, 8), 2, 217]-NRT-code)	[i]